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Finding the Fourth Proportional to 468,891.64, 647,032.21 and 275,278.96

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Solution

The fourth proportional to 468,891.64, 647,032.21 and 275,278.96 is: 379,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,891.64 : 647,032.21 = 275,278.96 : x
  2. Step 2: Convert to fraction form
    468,891.64/647,032.21 = 275,278.96/x
  3. Step 3: Cross multiply
    468,891.64x = 647,032.21 × 275,278.96
  4. Step 4: Simplify right side
    468,891.64x = 178,114,353,855.30
  5. Step 5: Solve for x
    x = 178,114,353,855.30/468,891.64
  6. Step 6: Final answer
    x = 379,862.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.